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Finding the Fourth Proportional to 10,144.32, 13,999.18 and 5,668.08

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Solution

The fourth proportional to 10,144.32, 13,999.18 and 5,668.08 is: 7,821.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144.32 : 13,999.18 = 5,668.08 : x
  2. Step 2: Convert to fraction form
    10,144.32/13,999.18 = 5,668.08/x
  3. Step 3: Cross multiply
    10,144.32x = 13,999.18 × 5,668.08
  4. Step 4: Simplify right side
    10,144.32x = 79,348,472.17
  5. Step 5: Solve for x
    x = 79,348,472.17/10,144.32
  6. Step 6: Final answer
    x = 7,821.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.